The number of wild flowers growing each year in a meadow is modeled by the function f(x)

f(x)=1000/1+9e^-0.4x

Which statements are true about the population of wild flowers?

Select each correct answer.


A: 42 more wildflowers will grow in the 11th year than in the 10th year.

B: After approximately 9 years, the rate for the number of wild flowers decreases.

C: Initially there were 100 wild flowers growing in the meadow.

D: In the 15th year, there will be 1050 wild flowers in the meadow.

Please no guessing, and remember to provide reasoning for your answer

Answer:

(- 4, 1 )

Step-by-step explanation:

A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.

B = (- 5, 4 ), thus

B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )

[tex]B=(-5,4)\\\\B'=(-5+1,4-3)\\B'=(-4,1)[/tex]

Answer:

Total online purchase is $26.473 .

Step-by-step explanation:

As given

Natasha places an online order for plate holders to display her antique plates.

Natasha orders 3 large holders for $4.95 each, 2 medium holders for $3.25 each and 2 small holders for $1.75 each.

Thus

Total purchase of Natasha = Number of large holders × Cost of each large holder + Number of medium holders × Cost of each medium holder +  Number of small holders × Cost of each small holder .

Put all the values in the above

Total purchase of Natasha = 3 × $4.95+ 2 × $3.25 + 2 × $1.75

                                            = $14.85 + $6.5 + $3.5

                                            = $ 24.85

As given

Site has a promotional offer of 15% off on all purchases.

15% is written in the decimal form

[tex]= \frac{15}{100}[/tex]

= 0.15

Discount amount = 0.15 × Total purchase of Natasha .

                             = 0.15 × $24.85

                             = $ 3.7275

Thus

Total purchase of Natasha after discount = Total purchase of Natasha - Discount amount .

                                                                     = $24.85 - $3.7275

                                                                     = $ 21.1225

As given

Natasha must pay a flat rate of $5.35 for shipping and handling.

Thus

Total online purchase of Natasha = Total purchase of Natasha after discount + Flat rate for shipping and handling .

Total online purchase of Natasha = $21.1225 + $5.35

                                                        = $ 26.4725

                                                        = $26.473 (Approx)

Therefore the total online purchase is $26.473 .

Answer:

the order Natasha places is as follows;

3 large holders - $4.95 each - 4.95*3 = 14.85

2 medium holders - $3.25 each - 3.25*2 = 6.5 

2 small holders - $1.75 each - 1.75*2 = 3.5

Total value for purchases is - 14.85 + 6.5 + 3.5 = 24.85

she gets 15% for all purchases therefore she has to pay only 85% of the purchase value 

$24.85 * 85% = $21.1225

She has to pay an additional $5.35 for shipping and handling 

therefore the total amount she has to pay is = 21.1225 + 5.35

total amount = 26.4725 this rounded off to second decimal place,

correct answer 

C - $26.47

Answer:

integer  3 represents elevator final position with respect to the main floor.

Step-by-step explanation:

Given  : An elevator starts at the main floor and goes up 8 floors. It then goes back down 5 floors.

To find : What integer represents elevator final position with respect to the main floor.

Solution : We have given

Elevator starts at the main floor and goes up floors = + 8 ( for up).

Then goes back down floor  =  - 5  ( - sign for down).

Final position  :  8 - 5 = 3 .

It will reach at 3 floor from the main floor .

Therefore, integer  3 represents elevator final position with respect to the main floor.

Answer:-28x^4y^2(-4x^3y^6)

Step-by-step explanation: Distribute and add exponents, put in parentheses to make it easier to understand but it's not necessary for the final answer.

Answer:

[tex]-28x^4y^6[/tex]

Step-by-step explanation:

The given expression is

[tex]-4x^3y^2(7xy^4)[/tex]

We need to place the indicated product in the proper location on the grid.

The given expression can be rewritten as

[tex](-4\times 7)(x^3x)(y^2y^4)[/tex]

[tex]-28(x^3x)(y^2y^4)[/tex]

Using the product property of exponent, we get

[tex]-28\times x^{3+1}\times y^{2+4}[/tex]          [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]-28\times x^{4}\times y^{6}[/tex]

[tex]-28x^{4}y^{6}[/tex]

Therefore the answer of given product is [tex]-28x^{4}y^{6}[/tex].

Answer:

B) f(x)=1.74(0.81)^3x

and

D) f(x)=156(1-0.19)^x

Step-by-step explanation:

The percentage will always be where the b is, or inside the parentheses. You just have to make sure that, when not greater than 1, you must find out WHAT SUBTRACTS FROM 1 TO GET THAT RESULT. So ask yourself, what decimal number subtracts from 1 to get 0.81?

0.81 is the equivalent to (1-0.19) because (1-0.19) = 0.81.

0.19 is 19%, which is what we're looking for!

The exponential function with a percentage rate of change of 19% is option D) f(x)= 156(1-0.19)ˣ, because it reflects a 19% decrease with the base 0.81 (which is equal to 1 - 0.19).

Exponential functions have a percentage rate of change of 19%, we need to identify the function where the base of the exponent reflects this rate of change. The percentage rate of change can be represented as a decimal where a 19% increase is 1.19 and a 19% decrease is 0.81 (since 1 - 0.19 = 0.81).

Now, let's analyze the given functions:

A) f(x) = 3182(0.9)²ˣ does not represent a 19% rate of change.

B) f(x) = 1.74(0.81)³ˣ does not represent a 19% rate of change as it involves 0.81 to the power of 3x, not x.

C) f(x) = 0.2(0.38)ˣ/² does not represent a 19% rate of change.

D) f(x) = 156(1-0.19)ˣ does represent a 19% rate of change because the base is 0.81 which is equivalent to 1 - 0.19.

Therefore, the correct answer is option D).

Answer :

22.5 is the answer

MARK ME AS BRANILIST

Answer: 90

Step-by-step explanation:

Basically you reflect twice and then rotate it

Answer:

c. no solution

Step-by-step explanation:

6d + 3f = 12

2d = 8 ­- f

Multiply the second equation by 3

3*2d = 3(8-f)

6d = 24-3f

Substitute into the first equation for 6d

(24-3f) +3f = 12

Combine like terms

24 =12

This is never true, so there are no solutions

Answer:

c. No Solution.

Step-by-step explanation:

6d + 3f = 12

2d = 8 ­- f

Rearranging the second equation:

2d + f = 8  Multiply this equation by 3:

6d + 3f = 24

Note that the left side of this equation = the left side of the first equation but the right sides are different. So this system does not make sense and there are No Solutions.

Answer:

Step-by-step explanation:

The transformations you want are ...

Taken together, these make the transformation ...

  (x, y) ⇒ (-y+6, -x-1)

So, your points become ...

  A(0, 0) ⇒ A'(6, -1)

  B(8, 1) ⇒ B'(5, -9)

  C(5, 5) ⇒ C'(1, -6)

___

The attachment shows the original triangle in red and the progression to the final triangle in blue.

Answer:

1/4

23in * 19 in.

Step-by-step explanation:

The scale factor is 1/4 and the channel size is  92*1/4 * 76 * 1/4

= 23 in * 19 in screen.

Answer:

Scale factor = 1/2,  New screen 46 in by 38 in.

Step-by-step explanation:

The dimensions of screen is 92 in. by 76 in.

It has a feature that splits the screen to allow you to watch 4 channels at once as shown in the below figure.

All four parts are equal.

Let the dimensions of new screen be x in. by y in.

[tex]2x=92[/tex] and [tex]2y=76[/tex]

Divide both sides by 2.

[tex]x=46[/tex] and [tex]y=38[/tex]

Scale factor is

[tex]\text{Scale factor}=\frac{\text{New dimension}}{\text{Corresponding original dimension}}[/tex]

[tex]\text{Scale factor}=\frac{46}{92}[/tex]

[tex]\text{Scale factor}=\frac{1}{2}[/tex]

Therefore, the scale factor is 1/2.

Answer:

(7.5-2.1) /2

If the shortest side measures 2.1 m.

7.5-2.1 =5.4. Then divide by 2 each side is 2.7m

Answer:

The equation for finding the value of x is 2x + 2.1 = 7.5 and the value of x is 2.7 m.

Step-by-step explanation:

Perimeter of the isosceles triangle = 7.5 m

Length of the shortest side = 2.1 m

Let the length of each of the other sides of the triangle = x meter

Then the equation for the perimeter of the triangle becomes:

Sum of 3 sides f the triangle = 7.5 m

=> 2*x + 2.1 = 7.5

=> 2*x = 7.5 - 2.1 = 5.4

=> x = 5.4/2 = 2.7 m

So the relevant equation for finding the value of x is 2x + 2.1 = 7.5 and the value of x is 2.7 m.

Final answer:

The total number of hours worked by the person is calculated by adding the working times from two segments of the day. The morning session contributes 3 hours and 15 minutes, and the afternoon session adds 4 hours and 45 minutes. The combined total working hours are 8 hours.

Explanation:

To calculate the total number of hours worked by the person, we need to break down their workday into segments and sum up the time they spent working.

Morning session: From 8:30 AM to 11:45 AM

Afternoon session: From 12:30 PM to 5:15 PM

Calculating each session separately, we get:

Morning session: 11:45 AM - 8:30 AM = 3 hours and 15 minutes

Afternoon session: 5:15 PM - 12:30 PM = 4 hours and 45 minutes

Adding both sessions together:

3 hours and 15 minutes + 4 hours and 45 minutes = 8 hours total

Final Calculation:

3 hours 15 minutes + 4 hours 45 minutes = 7 hours 60 minutes = 8 hours

Therefore, the total number of hours worked by this person was 8 hours.

Answer:

  A.  20,000 square feet

Step-by-step explanation:

The description is that of a rectangle 200 ft long and 100 ft wide. The area is the product of those dimensions:

  area = (200 ft)(100 ft) = 20,000 ft²

The correct option is option A.

The area of a rectangle is the region covered by the rectangle in a two-dimensional plane.

The formula to finding the area of the rectangle is,

[tex]A=l\times b[/tex]

It is given that,

Length=100 ft

Breadth=200 ft

[tex]A=l\times b[/tex]

Now, substituting the given values into the above formula we get,

[tex]A=200 \times 100\\A=20000[/tex]

The required area is 20,000 square feet.

Learn more about the topic area of the rectangle:

https://brainly.com/question/11202023

AnswEr:

Add the two, to both sides. -2+2=0

So, the equation would like like this

x -2= 9

+2 +2

Then solve, the 2’s cancel out leaving you with x by itself. Finishing the equation to look like this-> x=11

Answer:

The probability is 14/55

Step-by-step explanation:

The word replacement contains 11 letters.

In which 4 letters are vowel = e,a,e,e

And 7 letters are not vowel = r,p,l,c,m,n,t

The probability of getting the vowel in the first try = 4/11

The probability of getting something that is not a vowel = 7/10.

The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.

Multiply the values:

=4/11 * 7/10

=28/110

=14/55

The probability is 14/55....

Answer:

A.

Step-by-step explanation:

If

[tex]y=x^2+2x+7[/tex] AND

y = x + 7, then by the transitive property of equality:

[tex]x^2+2x+7=x+7[/tex]

We can solve for the values of x by getting everything on one side of the equals sign and then solving for x:

[tex]x^2+x=0[/tex]

We can factor out the common x to get:

x(x + 1) = 0

which tells us by the Zero Product Property that either

x = 0 and/or x + 1 = 0 and x = -1

We are expecting 2 solutions for x since this is a second degree polynomial.  We will sub both -1 and 0 into y = x + 7 to solve for the corresponding values of y

y = 0 + 7 so

y = 7 and the coordinate is (0, 7)

y = -1 + 7 so

y = 6 and the coordinate is (-1, 6)

Answer:

Initial expected value = 7.3 $

If one more $20 bill and one more $10 bill are added to the bag expected value = 8.57 $

Step-by-step explanation:

a) Total number of bills = 2 + 1 + 4 + 3 = 10

[tex]\texttt{Probability of picking 20 dollar bill}=\frac{2}{10}=0.2\\\\\texttt{Probability of picking 10 dollar bill}=\frac{1}{10}=0.1\\\\\texttt{Probability of picking 5 dollar bill}=\frac{4}{10}=0.4\\\\\texttt{Probability of picking 1 dollar bill}=\frac{3}{10}=0.3[/tex]

Expected value = 20 x 0.2 + 10 x 0.1 + 5 x 0.4 + 1 x 0.3 = 7.3$

b)If one more $20 bill and one more $10 bill are added to the bag

Total number of bills = 3 + 2+ 4 + 3 = 12

[tex]\texttt{Probability of picking 20 dollar bill}=\frac{3}{12}=0.25\\\\\texttt{Probability of picking 10 dollar bill}=\frac{2}{12}=0.167\\\\\texttt{Probability of picking 5 dollar bill}=\frac{4}{12}=0.333\\\\\texttt{Probability of picking 1 dollar bill}=\frac{3}{12}=0.25[/tex]

Expected value = 20 x 0.25 + 10 x 0.167 + 5 x 0.333 + 1 x 0.25 = 8.57$            

Answer:

$7.30 for the first one and $8.58 for the second one

Step-by-step explanation:

ANSWER FOR PLATO

Answer:

Rx-axis (P) is (-4 , 1)

Step-by-step explanation:

* Lets revise the reflection

- If point (x , y) reflected across the x-axis

 ∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

 ∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

 ∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

 ∴ Its image is (-y , -x)

* Lets solve the problem

∵ The point P is (-4 , -1)

∵ Rx-axis (P) means reflect point P across the x-axis

∵ The reflection of a point (x , y) across the x-axis is (x , -y)

- That means we will change the sign of the y-coordinate of point P

∵ P = (-4 , -1)

∴ The y-coordinate of point P is -1 will change to 1

∴ The image of point P after reflection is (-4 , 1)

* Rx-axis (P) is (-4 , 1)

Answer:

P is -4 , 1

Step-by-step explanation:

Answer:

  18 months

Step-by-step explanation:

The difference in payments is $651 -541 = $110 per month. The cost of the points is ...

  $98,000 × 0.02075 = $2033.50

So, it will take $2033.50/($110/mo) ≈ 18.48 mo to make up the cost.

It will take Todd 18 months to cover the cost of the discount points.

_____

Comment on rounding

The question asks for the answer to be rounded to the nearest whole month. Since the quotient is about 18.486, this rounds to 18. After 18 months, the cost of the points is not quite covered. $53.50 remains to be covered. It isn't until Todd's 19th payment that the cost of points has been fully covered. For "break even" problems such as this one, I prefer to round to the next higher integer, rather than the nearest integer.

Answer:

The lens is 1 inch from the mirror

Step-by-step explanation:

* Lets revise the equation of the hyperbola with center (0 , 0) and

 transverse axis parallel to the y-axis is y²/a² - x²/b² = 1

- The coordinates of the vertices are  (0 , ± a)

- The coordinates of the co-vertices are (± b , 0)  

- The coordinates of the foci are (0 , ± c) where c² = a² + b²

* Lets solve the problem

∵ The equation of the hyperbola is y²/16 - x²/9 = 1

∵ The form of the equation is y²/a² - x²/b² = 1

∴ a² = 16

∴ a = √16 = 4

∵ The coordinates of the vertices are  (0 , ± a)

∴ The coordinates of the vertices are  (0 , 4) , (0 , -4)

∴ b² = 9

∴ b = √9 = 3

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = √25 = 5

∵ The coordinates of the foci are (0 , ± c)

∴ The coordinates of the foci are (0 , 5) , (0 , -5)

∵ The camera is pointed towards the vertex of the hyperbolic mirror

   which is (0 , 4) and is positioned such that the lens is at the nearest

  focus to that vertex which is (0 , 5)

∴ The distance between the lens and the mirror equal the distance

   between the vertex and the focus

∵ The vertex is (0 , 4) and the nearest focus is (0 , 5)

∴ The distance = 5 - 4 = 1 inch

* The lens is 1 inch from the mirror

Answer:

Step-by-step explanation:

[tex]cosecant=\dfrac{hypotenuse}{opposite}\\\\\text{We have}\ opposite=3b,\ \text{and}\ hypotenuse=22.5,\ \text{and}\ \csc x=\dfrac{5}{4}.\\\\\text{Substitute:}\\\\\dfrac{5}{4}=\dfrac{22.5}{3b}\qquad\text{cross multiply}\\\\(5)(3b)=(4)(22.5)\\\\15b=90\qquad\text{divide both sides by 15}\\\\b=6[/tex]

Answer:

60 ADULT TICKETS

40 KIDS UNDER 12 TICKETS

Step-by-step explanation:

By playing around with numbers, you can figure out what makes this situation true. By multiplying 4.50 by 60, you get 270. Then, by multiplying 2 by 40, you get 80. Finally, add 270 and 80, which results in 350, which satisfies the problem.

Hope this helps!

By setting up a system of equations, we find that 60 adult tickets and 40 kids tickets were sold for the Saturday matinee when 100 tickets are sold for a total of $350.

Let x be the number of adult tickets sold and y be the number of kids tickets sold. We then have the following system of equations:

x + y = 100 (Total number of tickets)

$4.50x + $2.00y = $350 (Total revenue)

2x + 2y = 200

4.5x + 2y = 350

2.5x = 150

x = 60

y = 100 - 60 = 40

So, 40 kids tickets were sold.

Answer:

Step-by-step explanation:

The graph of even function is symmetrical about the y-axis.

The graph of odd function is symmetrical about the origin.

A. even

B. odd

C. odd

D. neither

(look at the picture)

Answer:

I would be A

Step-by-step explanation:

It has symmetry across the y axis

Step-by-step explanation:

[tex] { \sin(x) }^{4} { \tan(x) }^{2} [/tex]

[tex] { \sin(x) }^{4} \frac{ { \sin(x) }^{2} }{ { \cos(x) }^{2} } [/tex]

[tex] \frac{ ({ {1 - \cos(x) }^{2} })^{3} }{ { \cos(x) }^{2} } [/tex]

hopefully this helps, I'm rusty with my trig identities

Answer:

  sin⁴(x)tan²(x) = (10 -15cos(2x) +6cos(4x) -cos(6x))/(16(1 +cos(2x))

Step-by-step explanation:

The relevant identities are ...

[tex]\sin^4{x}=\dfrac{3-4\cos{(2x)}+\cos{(4x)}}{8}\\\\\tan^2{x}=\dfrac{1-\cos{(2x)}}{1+\cos{(2x)}}\\\\\cos{(a)}\cos{(b)}=\dfrac{\cos{(a+b)}+\cos{(a-b)}}{2}[/tex]

Then your product is ...

[tex]\sin^4{(x)}\tan^2{(x)}=\dfrac{3-4\cos{(2x)}+\cos{(4x)}}{8}\cdot\dfrac{1-\cos{(2x)}}{1+\cos{(2x)}}\\\\=\dfrac{3-4\cos{(2x)}+\cos{(4x)}-3\cos{(2x)}+4\cos^2{(2x)}-\cos{(4x)}\cos{(2x)}}{8(1+\cos{(2x)})}[/tex]

Collecting terms and using the identity for the product of cosines, we get ...

[tex]=\dfrac{3-7\cos{(2x)}+\cos{(4x)}+4\dfrac{1+\cos{(4x)}}{2}-\dfrac{\cos{(6x)}+\cos{(2x)}}{2}}{8(1+\cos{(2x)})}\\\\=\dfrac{10-15\cos{(2x)}+6\cos{(4x)}-\cos{(6x)}}{16(1+\cos{(2x)})}[/tex]

Answer:

  not rational

Step-by-step explanation:

√2 is irrational. Any arithmetic operation (addition, subtraction, multiplication, division) performed on that number and any rational number will result in an irrational number (except for multiplication by 0).

Answer:

Step-by-step explanation:

Because of that sqrt, this expression is irrational.  A rational expression is one that can be expressed as the ratio of two integers.

Final answer:

The expression for the combined total profit made by TechWiz Electronics from MP3 and DVD players last week is 17x + 2754.

Explanation:

The profit TechWiz Electronics made from selling MP3 players can be represented by the expression 35x, where x is the number of MP3 players sold.

The profit from selling DVD players can be represented by the expression 18(153-x), where 153 is the total number of players sold and x is the number of MP3 players sold.

To find the combined total profit, we can add these two expressions together:

Combined Total Profit = 35x + 18(153-x)

Using the distributive property, we can simplify as:

Combined Total Profit = 35x + 2754 - 18x

Combining like terms, we can simplify further:

Combined Total Profit = 17x + 2754

Therefore, the expression for the combined total profit TechWiz made from MP3 and DVD players last week is 17x + 2754.

Answer:

[tex]\$105.47[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$250\\r=25\%=25/100=0.25\\x=3\ years[/tex]

substitute

[tex]V=250(1-0.25)^{3}[/tex]  

[tex]V=250(0.75)^{3}[/tex]  

[tex]V=\$105.47[/tex]  

Answer and Step-by-step explanation:

After three years the worth of it will be [tex]$105.47[/tex]

We know that each year, it's worth 75% of what it was, giving us :

[tex]=0.75*W[/tex] (Note that "W" means "Worth")

Now we calculate it in three years time so,

The first year is :[tex]250*0.75 = $187.50[/tex]

The second year is :[tex]187.5*0.75 = $140.625[/tex]

The third year is :[tex]140.625*0.75 = $105.47[/tex]

Now, we have our answer :

After three years time the worth of it is [tex]$105.47[/tex]

Answer:

C. 3(2x2 – 4x + 3)

Step-by-step explanation:

6x^2 – 12x + 9

We can factor out a 3

3(2x^2 -4x+3)

Answer:

c. 3(2x^2-4x+3)

Step-by-step explanation:

The numbers 6, 12, and 9 are all multiples of 3. Divide everything by three, move it to the outside. There are no more common factors between all 3 terms so the trinomial is completely factored. Hope this helped, if not then I apologize.

Answer:

d

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 → d

It takes 24 hours for the number of bacteria to increase to 300.

We have given that,

A scientist running an experiment starts with 100 bacteria cells.

These bacteria double their population every 15 hours.

Find how long it takes for the bacteria cells to increase to 300.

Use the formula, where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number.

[tex]P_0=100[/tex]

[tex]d=15[/tex]

[tex]P_t=P_02^{\frac{t}{d} }[/tex]

[tex]Pt=300=100\times2^{\frac{t}{15} }[/tex]

[tex]3=2^{\frac{t}{15}}[/tex]

[tex]\frac{t}{15} =1.6[/tex]

t=24

It takes 24 hours for the number of bacteria to increase to 300.

To learn more about the population increase visit:

https://brainly.com/question/11608113

#SPJ2

Answer:

2.25

Step-by-step explanation:

The total frequency is:

20 + 12 + 6 + 2 = 40

Calculate the probability of each score:

P(X=3) = 20/40 = 0.50

P(X=2) = 12/40 = 0.30

P(X=1) = 6/40 = 0.15

P(X=0) = 2/40 = 0.05

So the expected value is:

E = (3)(0.50) + (2)(0.30) + (1)(0.15) + (0)(0.05)

E = 2.25